MATH 1225 Test 3: Free Response - Solutions - Spring 2020

This document provides a detailed solution to the MATH 1225 Test 3, a free response exam in Calculus. The solution addresses multiple questions, including those involving general formulas, rate analysis, Lagrange interpolation, and the application of the mean value theorem. It covers topics such as finding critical points, optimization problems (volume and area), and numerical methods. The student utilized mathematical techniques to derive the solutions, providing step-by-step calculations and explanations. The solution also includes references to numerical analysis resources. The assignment demonstrates a solid understanding of calculus principles and the ability to apply them to solve complex problems, as well as the use of software like Excel. The document showcases the student's ability to present solutions in a clear and organized manner, adhering to the course's requirements, including proper notation and the use of theorems.